The New York Times reports that producers Robyn Goodman and Kevin McCollum are close to concluding a deal with the funnyman.
The play, set around the Iraq War, is scheduled to open in New York next spring (11).
Bengal Tiger won huge acclaim when it debuted at the Kirk Douglas Theatre in Culver City, California in May, 2009.
It most recently played the Mark Taper Forum in Los Angeles earlier this year (Apr-May10).
Williams is slated to take over from Kevin Tighe in the title role of the Tiger when the play transfers to New York.